Question

Let ABC be a right triangle with mLC = 90°. Given tan LA =0.5, find tan LB.

Answer 1

tan(∠B) = 2

Explanation:

In a right triangle, the relationships of the tangents of the acute angles is ...

tan(∠B) = cot(∠A) = 1/tan(∠A)

For tan(∠A) = 0.5, this means ...

tan(∠B) = 1/0.5 = 2